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85387541 is a prime number
BaseRepresentation
bin1010001011011…
…10100100010101
312221200010200112
411011232210111
5133324400131
612250052405
72054532161
oct505564425
9187603615
1085387541
1144220a18
122471a105
13148c8695
14b4a9ca1
15776a02b
hex516e915

85387541 has 2 divisors, whose sum is σ = 85387542. Its totient is φ = 85387540.

The previous prime is 85387531. The next prime is 85387553. The reversal of 85387541 is 14578358.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79032100 + 6355441 = 8890^2 + 2521^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85387541 is a prime.

It is equal to p4964909 and since 85387541 and 4964909 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85387531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42693770 + 42693771.

It is an arithmetic number, because the mean of its divisors is an integer number (42693771).

Almost surely, 285387541 is an apocalyptic number.

It is an amenable number.

85387541 is a deficient number, since it is larger than the sum of its proper divisors (1).

85387541 is an equidigital number, since it uses as much as digits as its factorization.

85387541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 134400, while the sum is 41.

The square root of 85387541 is about 9240.5379172427. The cubic root of 85387541 is about 440.3501706256.

The spelling of 85387541 in words is "eighty-five million, three hundred eighty-seven thousand, five hundred forty-one".